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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 277350.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277350.t1 | 277350t1 | \([1, 1, 0, -425, -183675]\) | \(-7373425/12582912\) | \(-14541127680000\) | \([]\) | \(543312\) | \(1.2046\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277350.t do not have complex multiplication.Modular form 277350.2.a.t
sage: E.q_eigenform(10)